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  1. Problems
  2. /Algebra
  3. /Linear Equations in Two Variables

Linear Equations in Two Variables

Mathematics
+ Upload a Problem
More in AlgebraLinear Equations in Two VariablesPairs of Linear EquationsPolynomialsAlgebraic Identities and FactorisationQuadratic EquationsSequences and SeriesLinear InequalitiesComplex NumbersPermutations and CombinationsBinomial TheoremMatrices and Determinants
13 problems
Type:
1.
For which value of k does the pair 3x + ky = 7 and 6x + 15y = 5 have no solution?
High School (9–10), General · Pairs of Linear Equations, Linear Equations in Two VariablesStemPy LabStemPy Lab
Hard
2.
Two different straight lines can meet at one point, but never at two points.
High School (9–10), General · Pairs of Linear Equations, Linear Equations in Two VariablesStemPy LabStemPy Lab
Medium
3.
Use the ratios, without solving, to find how many solutions each pair has.
High School (9–10), General · Pairs of Linear Equations, Linear Equations in Two VariablesStemPy LabStemPy Lab
Easy
4.
Draw the lines x + 2y = 9 and 3x - y = 6 on one graph.
High School (9–10), General · Pairs of Linear Equations, Linear Equations in Two VariablesStemPy LabStemPy Lab
Easy
5.
The line 2x + 7y = 28 and the two axes enclose a triangle.
High School (9–10), General · Linear Equations in Two Variables, Straight LinesStemPy LabStemPy Lab
Hard
6.
Find three solutions of 3x - y = 0. Why does its line pass through the origin?
High School (9–10), General · Linear Equations in Two Variables, Straight LinesStemPy LabStemPy Lab
Medium
7.
A taxi charges a fixed 4 dollars and then 2.5 dollars for each kilometre.
High School (9–10), General · Linear Equations in Two Variables, Straight LinesStemPy LabStemPy Lab
Medium
8.
The point (2, 3) lies on the line 5x + ky = 19. Find k.
High School (9–10), General · Linear Equations in Two VariablesStemPy LabStemPy Lab
Medium
9.
Which of the points (5, 1), (2, 4) and (1, 3) lie on the line x + 2y = 7?
High School (9–10), General · Linear Equations in Two VariablesStemPy LabStemPy Lab
Easy
10.
Draw the graph of 5x + 4y = 40. Find where it meets the two axes, and one more point as a check.
High School (9–10), General · Linear Equations in Two VariablesStemPy LabStemPy Lab
Medium
11.
A school sells student tickets for 3 dollars and adult tickets for 5 dollars.
High School (9–10), General · Linear Equations in Two VariablesStemPy LabStemPy Lab
Medium
12.
Write 4x = 9y - 5 in the form ax + by + c = 0. What are the numbers a, b and c?
High School (9–10), General · Linear Equations in Two VariablesStemPy LabStemPy Lab
Easy
13.
Which of the pairs (1, 4), (2, 2) and (0, 5) is a solution of 4x + y = 8?
High School (9–10), General · Linear Equations in Two VariablesStemPy LabStemPy Lab
Easy